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Finding the Third Proportional to 683,223,554,884 and 1,422,997,118,792

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Solution

The third proportional to 683,223,554,884 and 1,422,997,118,792 is: 2,963,774,866,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,223,554,884 : 1,422,997,118,792 = 1,422,997,118,792 : x
  2. Step 2: Convert to fraction form
    683,223,554,884/1,422,997,118,792 = 1,422,997,118,792/x
  3. Step 3: Cross multiply
    683,223,554,884x = 1,422,997,118,792 × 1,422,997,118,792
  4. Step 4: Simplify right side
    683,223,554,884x = 2,024,920,800,090,333,418,356,736
  5. Step 5: Solve for x
    x = 2,024,920,800,090,333,418,356,736/683,223,554,884
  6. Step 6: Final answer
    x = 2,963,774,866,389.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.